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Some isometric embedding and rigidity results for Riemannian manifolds

In this note, we announce some new results concerning rigidity and isometric embeddings of Riemannian manifolds. A special case of the main result states that a general M(n) [unk] R(n+r), r≤(n - 1)(n - 2)/2, is uniquely determined up to finitely many constants by its induced ds(2).

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Bibliographische Detailangaben
Hauptverfasser: Berger, Eric, Bryant, Robert, Griffiths, Phillip
Format: Artigo
Sprache:Inglês
Veröffentlicht: 1981
Schlagworte:
Online Zugang:https://ncbi.nlm.nih.gov/pmc/articles/PMC320214/
https://ncbi.nlm.nih.gov/pubmed/16593067
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